From this density, the probability that X is at least 0.88 is:

To calculate the probability that \( X \) is at least 0.88, you need to specify the probability density function (PDF) or distribution of \( X \). Common distributions include the normal distribution, uniform distribution, exponential distribution, etc. Without this information, it's not possible to determine the probability.

Could you provide the distribution details or the PDF equation? For example, if \( X \) is normally distributed, we'd need the mean (\(\mu\)) and standard deviation (\(\sigma\)).

Let me know, and I can continue!

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Here are 5 relative questions:
1. Is \( X \) normally distributed or from another distribution?
2. Do you know the mean and variance (or standard deviation) for \( X \)?
3. Is there a cumulative distribution function (CDF) provided for \( X \)?
4. Is this a continuous or discrete random variable?
5. Are there any additional boundary conditions for the probability?

**Tip**: Knowing whether the variable is continuous or discrete is crucial for selecting the right method (e.g., summing probabilities vs. integrating over a range).

Learn how to calculate the probability that a random variable X is at least 0.88 from a given probability density function. This problem involves probability theory, continuous random variables, and the use of the cumulative distribution function. Ideal for students in Grades 10-12.

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